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Complex Variables, Theory and Application: An International Journal最新文献

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Antiplane problem of periodic cracks in piezoelectric medium 压电介质周期性裂纹的反平面问题
Complex Variables, Theory and Application: An International Journal Pub Date : 2005-06-10 DOI: 10.1080/02781070500082882
X. Li, Wenshuai Wang
{"title":"Antiplane problem of periodic cracks in piezoelectric medium","authors":"X. Li, Wenshuai Wang","doi":"10.1080/02781070500082882","DOIUrl":"https://doi.org/10.1080/02781070500082882","url":null,"abstract":"In this article, the generalized two-dimensional problem of periodic interfacial cracks, which under antiplane deformation and in-plane electric field in piezoelectric materials, is studied by means of the complex variable method of Muskhelishvili and Riemann–Schwarz theorem. In terms of the electrically impermeable boundary condition, the problem is reduced to a Riemann–Hilbert problem and then explicit closed-form solutions are obtained. Moreover, it can be found that the solution procedure in this article is very direct and concise.","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"57 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2005-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133282354","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Cylindrical vibration of an elastic cusped plate under the action of an incompressible fluid in case of N = 0 approximation of I. Vekuas hierarchical models 在I. Vekuas分层模型N = 0近似下，不可压缩流体作用下弹性尖头板的圆柱振动
Complex Variables, Theory and Application: An International Journal Pub Date : 2005-06-10 DOI: 10.1080/02781070500086503
N. Chinchaladze, R. P. Gilbert
{"title":"Cylindrical vibration of an elastic cusped plate under the action of an incompressible fluid in case of N = 0 approximation of I. Vekuas hierarchical models","authors":"N. Chinchaladze, R. P. Gilbert","doi":"10.1080/02781070500086503","DOIUrl":"https://doi.org/10.1080/02781070500086503","url":null,"abstract":"This article deals with the study of an interaction between an elastic plate and an incompressible fluid when in the elastic plate part, the N = 0 approximation of Vekuas hierarchical models for cusped elastic plates is used.","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2005-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124533467","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 10
Solution properties of the de Branges differential recurrence equation de Branges微分递推方程的解性质
Complex Variables, Theory and Application: An International Journal Pub Date : 2005-06-10 DOI: 10.1080/02781070500086909
W. Koepf, Dieter Schmersau
{"title":"Solution properties of the de Branges differential recurrence equation","authors":"W. Koepf, Dieter Schmersau","doi":"10.1080/02781070500086909","DOIUrl":"https://doi.org/10.1080/02781070500086909","url":null,"abstract":"In his 1984 proof of the Bieberbach and Milin conjectures de Branges used a positivity result of special functions which follows from an identity about Jacobi polynomial sums that was published by Askey and Gasper in 1976 (Askey, R. and Gasper, G., 1976, Positive Jacobi polynomial sums II. American Journal of Mathematics, 98, 709–737.). The de Branges functions are defined as the solutions of a system of differential recurrence equations with suitably given initial values. The essential fact used in the proof of the Bieberbach and Milin conjectures is the statement . In 1991 Weinstein presented another proof of the Bieberbach and Milin conjectures, also using a special function system which (by Todorov and Wilf) was realized to be directly connected with de Branges’, , and the positivity results in both proofs are essentially the same. In this article we study differential recurrence equations equivalent to de Branges’ original ones and show that many solutions of these differential recurrence equations don’t change sign so that the above inequality is not as surprising as expected. Furthermore, we present a multiparameterized hypergeometric family of solutions of the de Branges differential recurrence equations showing that solutions are not rare at all.","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":" 19","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2005-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134504692","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Parametric representation and extension operators for biholomorphic mappings on some Reinhardt domains 某些Reinhardt域上生物全纯映射的参数表示和扩展算子
Complex Variables, Theory and Application: An International Journal Pub Date : 2005-06-10 DOI: 10.1080/02781070500086636
H. Hamada, G. Kohr, M. Kohr
{"title":"Parametric representation and extension operators for biholomorphic mappings on some Reinhardt domains","authors":"H. Hamada, G. Kohr, M. Kohr","doi":"10.1080/02781070500086636","DOIUrl":"https://doi.org/10.1080/02781070500086636","url":null,"abstract":"In this article we obtain a generalization of the Pfaltzgraff–Suffridge extension operator, denoted by Φ n,p , on some Reinhardt domains in C n . We prove that if f∈ S 0(Bn ) and p≥ 2n/(n+1) then where . In particular, if f is starlike on the Euclidean unit ball B n then is starlike on Ω n,p . We also give examples of starlike mappings on Ω n,p . Moreover, we study certain convexity properties associated with the operator Φ n,p . Further, we prove that the Roper–Suffridge extension operator Ψn preserves starlikeness of order 1/2. In the last section we obtain certain subordination results associated with the operator Φ n,p .","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"95 22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2005-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129171263","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 7
Some relations among the classes of pseudoholomorphic functions 伪全纯函数类间的若干关系
Complex Variables, Theory and Application: An International Journal Pub Date : 2005-06-10 DOI: 10.1080/02781070500083120
A. Okay Çelebİ, K. Koca
{"title":"Some relations among the classes of pseudoholomorphic functions","authors":"A. Okay Çelebİ, K. Koca","doi":"10.1080/02781070500083120","DOIUrl":"https://doi.org/10.1080/02781070500083120","url":null,"abstract":"In this article, first we define an operation on the space of generating pairs and investigate the properties of this operation. Secondly we have derived the class of functions which involves the derivatives of , where and is the class of – pseudoholomorphic functions in D.","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2005-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124985646","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Spectrum of the Riemann–Hilbert–Poincaré problem for analytic functions 解析函数的riemann - hilbert - poincarcarr问题的谱
Complex Variables, Theory and Application: An International Journal Pub Date : 2005-06-10 DOI: 10.1080/02781070500086552
D. Dai, Ming-Sheng Liu
{"title":"Spectrum of the Riemann–Hilbert–Poincaré problem for analytic functions","authors":"D. Dai, Ming-Sheng Liu","doi":"10.1080/02781070500086552","DOIUrl":"https://doi.org/10.1080/02781070500086552","url":null,"abstract":"We study the Riemann–Hilbert–Poincaré boundary value problem for analytic function. This problem will lead to inhomogeneous Fuchsian differential equations. We find that its spectrum is not characterized by the smoothness of its coefficient on the boundary but by its interior analytic continuation property. Moreover, the multiplicities of eigenfunctions for different eigenvalues are not necessarily the same even when the eigenvalues are small.","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"58 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2005-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127662308","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
The DCP radius of the exponential function 指数函数的DCP半径
Complex Variables, Theory and Application: An International Journal Pub Date : 2005-06-10 DOI: 10.1080/02781070500087105
Chinta Mani Pokhrel, S. Ruscheweyh, Gajendra B. Thapa
{"title":"The DCP radius of the exponential function","authors":"Chinta Mani Pokhrel, S. Ruscheweyh, Gajendra B. Thapa","doi":"10.1080/02781070500087105","DOIUrl":"https://doi.org/10.1080/02781070500087105","url":null,"abstract":"We prove that erz is direction convexity preserving (DCP) for all 0<r≤ 1. This extends a previous result of G. Kurth (Kurth, G., 1991, Über variationsvermindernde Transformationen. Dissertation zur Erlangung des naturwissenschaftlichen Doktorgrades der Bayerischen Julius-Maximilian-Universität Würzburg, Würzburg.).","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"172 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2005-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134224272","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
On elliptic systems of partial differential equations in bounded domains degenerating on their boundaries 有界区域上的椭圆型偏微分方程组在其边界上的退化
Complex Variables, Theory and Application: An International Journal Pub Date : 2005-06-10 DOI: 10.1080/02781070410001702532
A. Džhuraev
{"title":"On elliptic systems of partial differential equations in bounded domains degenerating on their boundaries","authors":"A. Džhuraev","doi":"10.1080/02781070410001702532","DOIUrl":"https://doi.org/10.1080/02781070410001702532","url":null,"abstract":"In this article we study some elliptic systems of partial differential equations in bounded domains generated by vector fields which degenerate on their boundaries, see also [3] (Dzhuraev, A., 1999, Singular Partial Differential Equations (Boca Raton: Chapman & Hall/CRC)) and [6] (Keldysh, M., 1951, On some cases of degeneracy of elliptic equations on the boundary of the domain. Doklady Academii Nauk SSSR, 77, 181–183 (Russian)).","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2005-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130915139","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Curriculum vitae of HEINRICH BEGEHR, Professor of Mathematics, Freie Universität Berlin HEINRICH BEGEHR，柏林自由大学Universität数学教授简历
Complex Variables, Theory and Application: An International Journal Pub Date : 2005-06-10 DOI: 10.1080/02781070500083229
{"title":"Curriculum vitae of HEINRICH BEGEHR, Professor of Mathematics, Freie Universität Berlin","authors":"","doi":"10.1080/02781070500083229","DOIUrl":"https://doi.org/10.1080/02781070500083229","url":null,"abstract":"4. Editorship . Editor: Berliner Studienreihe zur Mathematik, Publisher: Heldermann Verlag, Berlin, since 2004. . Editorial Board, Complex Variables: Theory and Application, Publisher: Taylor & Francis, since 1982. . Editorial Board, Monograph and Surveys in Pure and Applied Mathematics, Research Notes in Math. Series, Publisher: Chapman & Hall/CRC–Press, since 1997. . ISAAC Editorial Board, Publisher: Kluwer Academic Publisher, since 1997. . Editorial Board, General Mathematics, Publisher: Lucian Blaga, Univ. of Sibiu, Romania, since 2001. . Editorial Board, Journal of Applied Functional Analysis, Publisher: Nova Publ. Inc., since 2004. . Editorial Board, Journal of Analysis and Applications, Publisher: SAS Intern. Publ., since 2005. . Editorial Board, Advances in Algebra and Analysis, Publisher: Urmi Scientific Vision, since 2005.","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"84 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2005-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122806467","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
About the Tricomi problem for the mixed parabolic–hyperbolic type equation with complex spectral parameter 复谱参数混合抛物-双曲型方程的Tricomi问题
Complex Variables, Theory and Application: An International Journal Pub Date : 2005-05-15 DOI: 10.1080/02781070500140557
E. Karimov
{"title":"About the Tricomi problem for the mixed parabolic–hyperbolic type equation with complex spectral parameter","authors":"E. Karimov","doi":"10.1080/02781070500140557","DOIUrl":"https://doi.org/10.1080/02781070500140557","url":null,"abstract":"The unique solvability of the Tricomi problem for the parabolic–hyperbolic equation with complex spectral parameter is proved. Uniqueness of the solution is shown by the method of energy integral and existence by the method of integral equations.","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2005-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115187554","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
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